What are the coordinates of the point on the directed line segment from (4, -1)(4,−1) to (10, 8)(10,8) that partitions the segment into a ratio of 2 to 1?

Question

asked Mar 26, 2021 189k views

1 Answer

David Henty · Answer 1 · 2021-04-01T01:37:18+0000

Answer:

C(x,y) = (8,5)

Explanation:

Given

A(x_1,y_1) = (4,1)

B(x_2,y_2) = (10,8)

Required

Partition into 2:1

Here, we'll make use of the following formula:

C(x,y) = ((nx_1 + mx_2)/(m + n),(ny_1 + my_2)/(m + n))

Where

m:n = 2:1

Substitute values for m,n,x1,x2,y1 and y2

C(x,y) = ((1 * 4 + 2 * 10)/(1 + 2),(1 * -1 + 2 * 8)/(1 + 2))

C(x,y) = ((24)/(3),(15)/(3))

C(x,y) = (8,5)